{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:05:23Z","timestamp":1740135923462,"version":"3.37.3"},"reference-count":0,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":18,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["MS-9704458"],"award-info":[{"award-number":["MS-9704458"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["VLSI Design"],"published-print":{"date-parts":[[2000,1]]},"abstract":"<jats:p>In recent years, substantial advances have been made in understanding hydrodynamic\nmodels, both from the standpoint of analytical infrastructure, as well as the parameters\nwhich play a decisive effect in the behavior of such models. Both classical and quantum\nhydrodynamic models have been studied in depth. In this survey paper, we describe\nseveral results of this type. We include, for example, well\u2010posedness for both classical\nand quantum reduced models, and the relaxation drift\u2013diffusion limit as examples of\nanalytical results. As examples of computational results, we include some discussion of\neffective algorithms, but most importantly, some information gleaned from extensive\nsimulation. In particular, we present our findings of the prominent role played by the\nmobilities in the classical models, and the role of hysteresis in the quantum models. All\nmodels are self\u2010consistent. Included is discussion of recent analytical results on the use\nof Maxwell\u2019s equations. Benchmark devices are utilized: the MESFET transistor and\nthe <jats:italic>n<\/jats:italic><jats:sup>+<\/jats:sup>\/<jats:italic>n<\/jats:italic>\/<jats:italic>n<\/jats:italic><jats:sup>+<\/jats:sup> diode for classical transport, and the resonant tunneling diode for quantum\ntransport. Some comparison with the linear Boltzmann transport equation is included.<\/jats:p>","DOI":"10.1155\/2000\/94851","type":"journal-article","created":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T12:58:37Z","timestamp":1190120317000},"page":"453-466","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Analytical and Computational Advances for HydrodynamicModels of Classical and Quantum Charge Transport"],"prefix":"10.1155","volume":"10","author":[{"given":"Joseph W.","family":"Jerome","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[1999,12,14]]},"container-title":["VLSI Design"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2000\/094851.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2000\/94851","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T13:21:30Z","timestamp":1723123290000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2000\/94851"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12,14]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1155\/2000\/94851"],"URL":"https:\/\/doi.org\/10.1155\/2000\/94851","archive":["Portico"],"relation":{},"ISSN":["1065-514X","1563-5171"],"issn-type":[{"type":"print","value":"1065-514X"},{"type":"electronic","value":"1563-5171"}],"subject":[],"published":{"date-parts":[[1999,12,14]]},"assertion":[{"value":"1998-12-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"1999-12-14","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"1999-12-14","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}